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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "Give me practice on tangent lines to curves"

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Final Revision: Sketching the graph of a logarithmic function

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Worked Example: The discriminant, and what each of its three cases means

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Final Revision: Solving a disguised quadratic by substitution

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Worked Example: Finding one over alpha plus one over beta

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Worked Example: Evaluating a polynomial by substitution

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: The number of arrangements of n different objects in a row

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Worked Example: The difference between a permutation and a combination

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Final Revision: Proving an identity by working on one side only

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Final Revision: Losing solutions by dividing through by cos x

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Learn: The shape, period and range of the sine curve

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Quiz: The gradient of the line through two points

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